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570:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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For details on the embedding of the 3-adic integers, see
Chistyakov, D. V. (1996), “Fractal geometry for images of continuous embeddings of
165:
Counter-clockwise from the right, the labeled elements are 0, 9, 3, 1, −1/8, −1/2, 1/4, −1/4, 1/2, 1/8, −1, −3, and −9. Open the SVG
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The following pages on the
English Knowledge (XXG) use this file (pages on other projects are not listed):
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152:(black points), with selected elements labeled by the corresponding character on the
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511:
I, the copyright holder of this work, hereby publish it under the following license:
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269:{\displaystyle \chi _{x}:\mathbb {Z} (3^{\infty })\to \mathbb {R} /\mathbb {Z} }
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Knowledge (XXG):Featured picture candidates/3-adic integers with dual colorings
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Click on a date/time to view the file as it appeared at that time.
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78:(SVG file, nominally 600 × 600 pixels, file size: 1.77 MB)
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Add a one-line explanation of what this file represents
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Knowledge (XXG):Featured picture candidates/March-2012
426:, defined in Definition 3 and depicted in Figure 1.12.
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Creative
Commons Attribution-ShareAlike 3.0 Unported
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Commons is a freely licensed media file repository.
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388:, pages 1495–1507. The particular mapping used is
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172:Each colored disc is tied to a 3-adic integer,
587:https://creativecommons.org/licenses/by-sa/3.0
89:
593:Creative Commons Attribution-Share Alike 3.0
517:
8:
360:where 0 = red, 1/3 = green, and 2/3 = blue.
553:– to copy, distribute and transmit the work
370:-adic solenoids into Euclidean spaces”, in
41:Size of this PNG preview of this SVG file:
1760:
1358:http://commons.wikimedia.org/User:Melchoir
1258:
1236:
1862:The following other wikis use this file:
1832:Talk:Fermat's Last Theorem/Archive 7
419:{\displaystyle \Upsilon _{s}^{(\infty )}}
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349:{\displaystyle \mathbb {R} /\mathbb {Z} }
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627:This image has been assessed using the
134:3-adic integers with dual colorings.svg
200:{\displaystyle x\in \mathbb {Z} _{3}}
7:
540:Attribution-Share Alike 3.0 Unported
372:Theoretical and Mathematical Physics
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169:to get tooltips on group elements.
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564:Under the following conditions:
535:This file is licensed under the
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1970:Wikipedysta:P-adyczny/brudnopis
1537:Wikimedia Commons quality image
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314:{\displaystyle \chi _{x}(q)=xq}
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1976:Usage on simple.wikipedia.org
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1501:original creation by uploader
1274:Items portrayed in this file
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1996:Usage on zh.wikipedia.org
1986:Usage on uk.wikipedia.org
1966:Usage on pl.wikipedia.org
1956:Usage on no.wikipedia.org
1946:Usage on nl.wikipedia.org
1936:Usage on ko.wikipedia.org
1926:Usage on ja.wikipedia.org
1916:Usage on hu.wikipedia.org
1906:Usage on fr.wikipedia.org
1891:Usage on fa.wikipedia.org
1876:Usage on es.wikipedia.org
1866:Usage on bg.wikipedia.org
1521:Commons quality assessment
578:same or compatible license
1750:
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16:
2005:Knowledge (XXG):优良条目/p进数
1251:
671:беларуская (тарашкевіца)
630:Quality image guidelines
544:
167:directly in your browser
95:This is a file from the
1807:
1786:08:48, 17 February 2012
451:
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374:, volume 109, issue 3,
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99:. Information from its
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102:description page there
734:Schweizer Hochdeutsch
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154:Pontryagin dual group
1618:determination method
633:and is considered a
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65:2,048 × 2,048 pixels
61:1,024 × 1,024 pixels
1040:português do Brasil
559:– to adapt the work
496:was created with a
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163:) (colored discs).
47:Other resolutions:
1837:Talk:P-adic number
1336:Wikimedia username
1323:author name string
416:
395:
384:10.1007/BF02073866
366:-adic numbers and
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1950:P-adische analyse
1858:Global file usage
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32:Global file usage
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1990:P-адичний аналіз
1885:Análisis p-ádico
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1379:copyright status
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150:3-adic integers
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105:is shown below.
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